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Simplifying 2(x + 3) + x = 6x + 1 Reorder the terms: 2(3 + x) + x = 6x + 1 (3 * 2 + x * 2) + x = 6x + 1 (6 + 2x) + x = 6x + 1 Combine like terms: 2x + x = 3x 6 + 3x = 6x + 1 Reorder the terms: 6 + 3x = 1 + 6x Solving 6 + 3x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 3x + -6x = 1 + 6x + -6x Combine like terms: 3x + -6x = -3x 6 + -3x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -3x = 1 + 0 6 + -3x = 1 Add '-6' to each side of the equation. 6 + -6 + -3x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 1 + -6 -3x = 1 + -6 Combine like terms: 1 + -6 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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